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2241661422 = 23711132511487
BaseRepresentation
bin1000010110011101…
…0000100111101110
312210020002012101010
42011213100213232
514042331131142
61010234330050
7106356544020
oct20547204756
95706065333
102241661422
11a503a5450
12526889926
1329955a4a0
14173a04010
15d1beae9c
hex859d09ee

2241661422 has 128 divisors (see below), whose sum is σ = 6047612928. Its totient is φ = 534960000.

The previous prime is 2241661417. The next prime is 2241661441.

2241661422 is nontrivially palindromic in base 10.

2241661422 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2241661422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1506763 + ... + 1508249.

It is an arithmetic number, because the mean of its divisors is an integer number (47246976).

Almost surely, 22241661422 is an apocalyptic number.

2241661422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241661422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023806464).

2241661422 is an abundant number, since it is smaller than the sum of its proper divisors (3805951506).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2241661422 is a wasteful number, since it uses less digits than its factorization.

2241661422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774.

The product of its digits is 9216, while the sum is 30.

The square root of 2241661422 is about 47346.1869848037. The cubic root of 2241661422 is about 1308.7499335072.

It can be divided in two parts, 22416 and 61422, that added together give a palindrome (83838).

The spelling of 2241661422 in words is "two billion, two hundred forty-one million, six hundred sixty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 251 273 286 429 462 502 546 753 858 1001 1487 1506 1757 2002 2761 2974 3003 3263 3514 4461 5271 5522 6006 6526 8283 8922 9789 10409 10542 16357 16566 19327 19331 19578 20818 22841 31227 32714 35893 38654 38662 45682 49071 57981 57993 62454 68523 71786 98142 107679 114499 115962 115986 135317 137046 212641 215358 228998 251251 270634 343497 373237 405951 425282 502502 637923 686994 746474 753753 811902 1119711 1275846 1488487 1507506 2239422 2612659 2976974 4105607 4465461 4852081 5225318 7837977 8211214 8930922 9704162 12316821 14556243 15675954 24633642 28739249 29112486 33964567 53372891 57478498 67929134 86217747 101893701 106745782 160118673 172435494 203787402 320237346 373610237 747220474 1120830711 2241661422